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Sum of Squares and Degrees of freedom

A researcher wanted to invetigate whether there is a significant difference in the average age of instructors, assistant professors, assocated professors and full professors at a university. The faculty was selected at random and their ages were recorded. Use the collected data to complete the Anova chart given below.

Instructors Asst. Professors Assoc. Professors Professors
26 28 45 58
32 32 48 56
29 36 52 62
36 45 54 65
40 50 62 52
45 46 65 49

ANOVA Summary
Source of Sum of Degrees Variation F Value F Critical
Variation Squares of freedom
Between-Groups 3 12.88 3.10
Within-Groups 1120.17

(Need Sum of Squares and Degrees of freedom for Between Groups and Degrees of freedom and Variation for Within-Groups

Solution Summary

ANOVA Chart is Completed as required.

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